Answers
It takes 5600 years to get to 50%
Another 5600 years to get to 25%
And a bit under another 5600 to get to 15% (another 5600 years would get it down to 12.5%)
Add the first two 550s to get 1120, and add about 5,000 and see which answer is closest.
In this case, D is closest at 15!w29
There are more exact ways of solving, but for a multiple choice this is faster and efficient nonetheless
Related Questions
4x + 3y =4 2x - y =7 in substitution
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Each runner in a relay race runs one leg, or 1/8 kilometer. How many runners will it take to cover the 3/4 kilometer? Show your work.
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Which is a true statement about the diagram? m∠5 + m∠6 = m∠1 m∠3 + m∠4 + m∠5 = 180° m∠1 + m∠2 = 180° m∠2 + m∠3 = m∠5
Answers
m<1 +m<2 = 180° is the answer
Answer:
Third option is the right choice.
Step by step explanation:
We have been given an diagram and we are asked to choose the true statement about the diagram.
Let us see our all choices one by one.
1. [tex]m\angle5+m\angle6=m\angle1[/tex]
We can see that [tex]\angle5[/tex] and [tex]\angle6[/tex] are supplementary and there measure should be equal to 180 degrees. [tex]\angle1[/tex] is exterior angle of our triangle and its measure must be equal to sum of measures of [tex]\angle5[/tex] and [tex]\angle3[/tex].
Therefore, 1st option is incorrect.
2. [tex]m\angle3+m\angle4+m\angle5=180^{o}[/tex]
We can see that [tex]\angle3[/tex] and [tex]\angle4[/tex] are supplementary and they must be equal to 180 degrees. Therefore, 2nd option is also incorrect.
3. [tex]m\angle1+m\angle2=180^{o}[/tex]
We can see from our diagram that [tex]\angle1[/tex] and [tex]\angle2[/tex] are supplementary. Therefore, 3rd option is the correct choice.
4. [tex]m\angle2+m\angle3=m\angle5[/tex]
We can see that [tex]\angle2[/tex], [tex]\angle3[/tex] and [tex]\angle5[/tex] are interior angles of our triangle and their measure should be equal to 180 degrees. By exterior angle theorem sum of measures of [tex]\angle2[/tex] and [tex]\angle3[/tex] will be equal to measure of [tex]\angle6[/tex] instead of [tex]\angle5[/tex].
Therefore, our 4th option is also incorrect.
Find the points on the surface 4 x^2 + 4 y^2 + 1 z^2 = 1 at which the tangent plane is parallel to the plane -4 x - 4 y + 4 z = -8.
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Ms. Romero is buying a scrapbook and sheets of designer paper. She has $30 and needs at least $15.75 to buy the scrapbook. Each sheet of paper costs $0.29. 30−0.29x≥15.75 to find the number of sheets of paper, x, she can buy. How many sheets of paper can she buy?
Answers
solving inequalities is similar to solving unknowns in an equation, the same set of steps are followed, except that x could be equal to the final answer or more or less than that value depending on the sign .
30−0.29x ≥ 15.75
-0.29x ≥ -14.25
when dividing by a negative number (-0.29) the inequality side should change its direction
In this case ≥ changes to ≤
x ≤ -14.25/-0.29
x ≤ 49.13
since they are asking for number of sheets of paper it should be the nearest whole number that is less than or equal to 49.13
since 49.13 is not a whole number we should round it off to the nearest whole number that is less than that.
x ≤ 49
she can buy maximum 49 sheets of paper and have enough money to buy the scrapbook.
49 x $ 0.29 + 15.75 = 14.21 + 15.75 = $29.96
Ms. Romero can buy up to 49 sheets of paper.
To determine the number of sheets of paper \( x \) that Ms. Romero can buy, we start with the inequality:
[tex]\[ 30 - 0.29x \geq 15.75 \][/tex]
First, isolate the term involving \( x \) by subtracting 15.75 from both sides:
[tex]\[ 30 - 15.75 \geq 0.29x \][/tex]
Simplify the left side:
[tex]\[ 14.25 \geq 0.29x \][/tex]
Next, solve for \( x \) by dividing both sides by 0.29:
[tex]\[ \frac{14.25}{0.29} \geq x \][/tex]
Calculate the value:
[tex]\[ x \leq \frac{14.25}{0.29} \]\[ x \leq 49.13793103448276 \][/tex]
Since \( x \) must be a whole number, we take the greatest integer less than or equal to 49.13793103448276, which is 49. Therefore, the maximum number of sheets of paper she can buy is:
[tex]\[ x = 49 \][/tex]
Thus, Ms. Romero can buy up to 49 sheets of paper.
which collection of three side lengths will not form a triangle
6, 10 18
10, 12 ,15
10, 15, 6
10, 18 ,12 please tell me how you figured it out.
Answers
lets calculate the sums of all the given choices to find out which three lengths given do not form a triangle.
A.
6,10,18
6 + 10 = 16
16 is smaller than the third side-18
Therefore these 3 lengths do not form a triangle
B.10,12,15
10 + 12 = 22 15+12 = 27 15 + 10 = 25
22>15 (3rd side) 27>10 (3rd side) 25>12 (3rd side)
In this triangle, sum of all the possible pairs of sides are greater than the third side therefore these lengths can form a triangle
C.10,15,6
10 + 15 = 25 15 + 6 = 21 10+6 = 16
25 > 6 21>10 16>15
in this too, sum of all the possible pairs of sides are greater than the third side. These lengths can be used to form a triangle
D.10,18 ,12
10 + 18 = 28 18 + 12 = 30 10 +12 = 22
28> 12 30>10 22> 18
Therefore these lengths can also be used to form a triangle
correct answer is 6,10 and 18 these cannot form a triangle
To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. This theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. By applying this theorem to each collection of side lengths given, we can determine which ones will form a triangle.
Explanation:A triangle is a three-sided figure lying on a plane with three angles adding up to 180 degrees. To determine if a collection of three side lengths will form a triangle, we use the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
For the collection 6, 10, 18, the sum of the two smaller sides (6 + 10) is less than the largest side (18), so this collection will not form a triangle.For the collection 10, 12, 15, the sum of the two smaller sides (10 + 12) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 15, 6, the sum of the two smaller sides (6 + 10) is greater than the largest side (15), so this collection will form a triangle.For the collection 10, 18, 12, the sum of the two smaller sides (10 + 12) is greater than the largest side (18), so this collection will form a triangle.What is the slope of the line that goes through (2, 5) and (-6, -2) ?
Answers
slope = 7/8
Explanation:
Slope of the line can be calculated using the following equation:
slope = [tex] \frac{y2 - y1}{x2 - x1} [/tex]
The two points given are:
(2,5) representing (x1 , y1)
(-6,-2) representing (x2 , y2)
Substitute with the points in the above equation to get the slope as follows:
slope = [tex] \frac{-2 - 5}{-6 - 2} [/tex] = 7/8
Hope this helps :)
Find the general solution of the differential equation y'' +4y = 3sin2t
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Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8?
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To find the x-intercept means to find the place where the line intersects the x-axis. If the line is intersecting the x-axis, then the point where it intersects the x-axis must be a place where y = 0. If y didn't equal 0, then that point wouldn't be on the x-axis.
So, to find the x-intercept, we set y in the given equation to 0, like this:
[tex]3y + 4x = 8 [/tex]
[tex]3(0) + 4x = 8[/tex]
[tex]4x = 8[/tex]
[tex]x = \frac{8}{4}[/tex]
[tex]x=2[/tex]
So, [tex]x=2[/tex]. We assumed that [tex]y=0[/tex] to find the x-intercept at the beginning. Then, our ordered pair in the usual order [tex](x,y)[/tex] is [tex](0,2)[/tex]. You can see this is correct by looking at the attached graph.
Final answer:
To find the x-intercept for the equation 3y + 4x = 8, set y to 0 and solve for x, which results in x = 2. Thus, the ordered pair for the x-intercept is (2, 0).
Explanation:
The question is asking to determine the x-intercept of the linear equation 3y + 4x = 8. The x-intercept occurs where the graph of the equation crosses the x-axis, which is when y is equal to 0. To find the x-intercept, you set y to 0 and solve for x:
3(0) + 4x = 8
4x = 8
x = 8/4
x = 2
Therefore, the ordered pair that represents the x-intercept is (2, 0). This is the point on the graph where the line crosses the x-axis.
Nolan bought 26 yards of rope, the rope costs 2 dollars per foot, how much did Nolan play for the rope?
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The bookstore marked some notepads down from ???$ 3.00 but still kept the price over ???$ 2.00. It sold all of them. The total amount of money from the sale of the pads was ???$ 27.95. How many notepads were??? sold? What was the price of each??? notepad?
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I tried numbers greater than 10 using a trial and error strategy until I got to 13 notebooks sold and found that it $27.95 was divisible by 13 to get an answer between $2 and $3 ($2.15 exactly).
Call a household prosperous if its income exceeds $100,000. call the household educated if the householder completed college. select an american household at random, and let a be the event that the selected household is prosperous and b the event that it is educated. according to a survey, p(a) = 0.132, p(b) = 0.227, and the probability that a household is both prosperous and educated is p(a and
b.= 0.082. what is the conditional probability that a household is prosperous, given that it is educated? (round your answer to four decimal places.) .3612 explain why your result shows that events a and b are not independent. if a and b were independent, then p(a|b) would equal p(a), and p(a and
b.would equal the product p(a)p(b). if a and b were independent, then p(a|b) would equal p(a), and p(a and
b.would equal the sum p(a) + p(b). if a and b were independent, then p(a|b) would equal p(a and b), and p(a and
b.would equal the product p(a)p(b). if a and b were independent, then p(a|b) would equal p(b), and p(a and
b.would equal the product p(a)p(b). if a and b were independent, then p(a|b) would equal p(b), and p(a and
b.would equal the sum p(a) + p(b). submit answer save progress
Answers
.. = 0.082/0.227
.. ≈ 0.3612
If these events were independent, p(a|b) = p(a) and p(a&b) = p(a)*p(b). (Looks like your 1st selection.)
Giving brainiest+points need explanation on this one my answer is 25 is it right?
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what does x=? I know it is vertical
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7x + x + 20 = 180
8x = 160
x = 20
We know a vertical line = 180 degrees
x + 20 + 7x = 180
we can simplify this
20 + 8x = 180
To solve this, we can work backwards.
180 - 20 = 160
8x = 160
160/8 = 20
x = 20 degrees
Hope I helped!
Let me know if you need anything else!
~ Zoe
Hi! can someone please answer this question
Answers
360 m - 160 m = 200 m
The width of the garden is 200 meters.
_____
Of course, you know that 1 km = 1000 m, so 0.72 km = 720 m.
In order to find the answer to the question, we can begin by converting the measurements into one common unit. In this case, we can convert 0.72km to 720 meters, which will make the final calculation a bit easier.
The formula to find the perimeter of the garden is L2+W2.
The length is 160 meters, so we can multiply this by two to find a portion of the rectangle.
160 x 2 = 320
Now, we can subtract 320 from the total number: 720
720 - 320 = 400
To find the width, we simply now need to divide 400 by 2.
[tex] \frac{400}{2} [/tex] = 200
The width of the garden is 200 meters.
I hope this helps you! Have a wonderful day!
-MMMski
Find the value of x so that line m is parallel to line n.
A. 57
B. 51
C. 50
D. 49
Answers
3x + 11 = 161
3x = 150
x = 50
Answer:
,C) x =50
Step-by-step explanation:
Given : Parallel line m and n in figure.
To find : Find the value of x
Solution : We have given
Two parallel line with traversal line
Alternate interior angle property : The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles are equal.
3x + 11 and angle 161 are alternate angle .
3x + 11 =161.
On subtracting both sides by 11
3x = 161 -11
3x = 150
On dividng both sides by 3
x =50
Therefore,C) x =50
A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answers
Question
A theater company charges $9.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets an a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?
Answer:
10.50c + a
PLZ GIVE BRAINLYEST!!!
how to we get radius
Answers
Tommy has a coupon for an additional 25% off the price of any sale item at a store. The store has put a Art Kit on sale for 15% off the original price of $40. What is the price of the Art Kit after BOTH discounts?
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A right triangle has one leg that is 17 centimeters shorter then the other. If the hypotenuse is 25 what is the length of the two legs
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x^2 +(x +17)^2 = 25^2
2x^2 +34x +289 = 625
x^2 +17x -168 = 0
(x -7)(x +24) = 0 . . . . . the zero product rule tells you x=7 is the solution
The shorter leg is 7 cm; the longer one is 24 cm.
PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Exponential Growth/Decay Function
The value of a car is $21,500. It loses 12% of its value every year.
(a) Write a function that represents the value y (in dollars) of the car after x years. (b) Use the function to estimate the value of the car after 6 years. (round your answer to the nearest whole number)
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Jake needs to put gas in the delivery van. Regular gasoline is $3.20 per gallon. He only had a $ 20 bill on him. How many gallons can he buy
Answers
The answer is "6 gallons".
Reason:
Just divide 20 by 3.20.....
20/3.20=6.25
Round to the nearest whole number will be 6.
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
For the number -5/8 name the opposite, reciprocal and absolute value
opposite:
Reciprocal:
Absolute value:
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reciprocal- -8/5
absolute value- 5/8
Multiply x^2-8x+15/3x * 8x/x-3
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1. First, you should apply the dstributive property:
=(x²-8x+15/3x)(8x/x-3)
=(8x³-64x²+120x)/3x(x-3)
2. As you can see, the common factor in the numerator is: "8x". So, you have:
=8x(x²-8x+15)/3x(x-3)
3. Then, when you simplify, you obtain:
=8(x²-8x+15)/3(x-3)
Therefore, the solution is: 8(x²-8x+15)/3(x-3)
Expand the log as a sun or difference
Answers
= ((1/2)*2*log(3) -4*log(x) -1/3*log(3))/log(a)
= ((2/3)*log(3) -4*log(x))/log(a)
= [tex]\frac{2}{3}\log_a{(3)}-4\log_a{(x)}[/tex]
[tex]\bf log_a\left( \cfrac{9^{\frac{1}{2}}}{x^43^{\frac{1}{3}}} \right)\implies log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^43^{\frac{1}{3}} \right) \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-\left[ log_a\left( x^4 \right)+log_a\left( 3^{\frac{1}{3}} \right) \right] \\\\\\ log_a\left( 9^{\frac{1}{2}} \right)-log_a\left( x^4 \right)-log_a\left( 3^{\frac{1}{3}} \right)\\\\\\ \cfrac{1}{2}log_a(9)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]
or more expanded so as
[tex]\bf \cfrac{1}{2}log_a(3^2)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ \cfrac{1}{2}\cdot 2log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3) \\\\\\ log_a(3)-4log_a(x)-\cfrac{1}{3}log_a(3)[/tex]
Joan and Ernie are earning money for summer camp. Joan receives a $7 weekly allowance plus $6 for each hour she helps her father paint. Ernie writes the equation y = 5x + 7 to represent the relationship between the number of hours he helps his father with yard work and his weekly allowance. Which statement best describes the graphs of their earnings for one week?
Answers
The Correct statement are:
Joan has more money in 10 weeks
Their y-intercepts are the same
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
Joan:
Joan receives a $7 weekly allowance plus $6 for each hour
so, the Equation for Joan Earning, y= 6x+ 7
Ernie Earning y = 5x + 7
So, the slope for Joan is 7 and Ernie's slope is 7.
Then, the Correct statement is:
Joan has more money in 10 weeks
Their y-intercepts are the same
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ3
Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
A; an = 2 • 3n - 1
B; an = 2 • (-3)n - 1
C; an = 2 • 3n
D; an = 2 • (-3)n + 1
Answers
r^3 = 162/-6 = -27
so r = -3
a1 * r-3 = -6 so first term = 2
an = 2. (-3)^(n-1) Answer
Its B
The answer is B, I have just confirmed it.
the city is planning to build a new park by enlarging the current park by a scale factor of 4. The current park has an area of 37,625 yd squared. what is the area of the new park
Answers
When you enlarge a shape (or a park) by a factor, you are multiplying the length of its sides by that factor. In this case, we are multiplying its length and width by 4.
Let l be the old length and w be the new length. The old area would be given by A=lw.
Enlarging this by a factor of 4 would make the new length 4l and the new width 4w. The new area would be 4l(4w)=16lw. The new area is 16 times larger than the old area, so:
37,625(16)=602,000.
Richard goes to the electronics store. He buys 2 memory cards that cost $8.99 each and 3 packages of batteries that are on sale for $7.47 each. He also buys a case for his cell phone for $2.99 and a wireless headset for $29.99. What is the total cost of Richard’s items, before sales tax?
Answers
Richard's items cost $73.37 before sales tax is added.
Use the information below to find EF such that triangle ABC is congruent to triangle DEF
AB=36 BC=24 DE=48 m<B=110 m<E=110 EF=?
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notice, the green numbers are the given ones, and the red ones are the implicit ones.
since we know both triangles are congruent, then all their sides as well as angles are congruent as well.
so if triangle ABC has sides of 24 and 36, so does triangle DEF, and if triangle DEF has a side of 48, so does triangle ABC.